An analysis of physics-based optical flow

Bo Wang; Zemin Cai; Lixin Shen; Tianshu Liu

doi:10.1016/j.cam.2014.08.020

An analysis of physics-based optical flow

Bo Wang, Zemin Cai, Lixin Shen, Tianshu Liu

Research output: Contribution to journal › Article › peer-review

40 Scopus citations

Abstract

A variational solution of the physics-based optical flow equation is studied for extraction of high-resolution velocity fields from flow visualization images. The solution to preserve discontinuities in a fluid velocity field is mathematically justified. The uniqueness of the solution and the convergence of a successive approximation sequence are proven. A numerical algorithm is developed and examined through numerical experiments.

Original language	English (US)
Pages (from-to)	62-80
Number of pages	19
Journal	Journal of Computational and Applied Mathematics
Volume	276
DOIs	https://doi.org/10.1016/j.cam.2014.08.020
State	Published - Mar 1 2015

Keywords

BV space
Flow visualization
Physics-based optical flow
Variational method
Velocimetry
Γ-convergence

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.cam.2014.08.020

Cite this

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title = "An analysis of physics-based optical flow",

abstract = "A variational solution of the physics-based optical flow equation is studied for extraction of high-resolution velocity fields from flow visualization images. The solution to preserve discontinuities in a fluid velocity field is mathematically justified. The uniqueness of the solution and the convergence of a successive approximation sequence are proven. A numerical algorithm is developed and examined through numerical experiments.",

keywords = "BV space, Flow visualization, Physics-based optical flow, Variational method, Velocimetry, Γ-convergence",

author = "Bo Wang and Zemin Cai and Lixin Shen and Tianshu Liu",

year = "2015",

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day = "1",

doi = "10.1016/j.cam.2014.08.020",

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AU - Wang, Bo

AU - Cai, Zemin

AU - Shen, Lixin

AU - Liu, Tianshu

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AB - A variational solution of the physics-based optical flow equation is studied for extraction of high-resolution velocity fields from flow visualization images. The solution to preserve discontinuities in a fluid velocity field is mathematically justified. The uniqueness of the solution and the convergence of a successive approximation sequence are proven. A numerical algorithm is developed and examined through numerical experiments.

KW - BV space

KW - Flow visualization

KW - Physics-based optical flow

KW - Variational method

KW - Velocimetry

KW - Γ-convergence

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SP - 62

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JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

ER -

An analysis of physics-based optical flow

Abstract

Keywords

ASJC Scopus subject areas

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